1 Infinite source. One of the features of a new machine shop will be a well-stocked tool crib. The manager of the shop must decide on the number of attendants needed to staff the crib. Attendants willreceive $9 per hour in salary and fringe benefits. Mechanics’ time will be worth $30 per hour, whichincludes salary and fringe benefits plus lost work time caused by waiting for parts. Based on previousexperience, the manager estimates requests for parts will average 18 per hour with a service capacity of 20 requests per hour per attendant. How many attendants should be on duty if the manager iswilling to assume that arrival and service rates will be Poisson-distributed? (Assume the number ofmechanics is very large, so an infinite-source model is appropriate.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 1C
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1 Infinite source. One of the features of a new machine shop will be a well-stocked tool crib. The manager of the shop must decide on the number of attendants needed to staff the crib. Attendants will
receive $9 per hour in salary and fringe benefits. Mechanics’ time will be worth $30 per hour, which
includes salary and fringe benefits plus lost work time caused by waiting for parts. Based on previous
experience, the manager estimates requests for parts will average 18 per hour with a service capacity of 20 requests per hour per attendant. How many attendants should be on duty if the manager is
willing to assume that arrival and service rates will be Poisson-distributed? (Assume the number of
mechanics is very large, so an infinite-source model is appropriate.)

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